Klaus Mainzer, Peter Schuster, Helmut Schwichtenberg (Hrsgg.)
Proof and computation : digitization in mathematics, computer science and philosophy / Edited By: Klaus Mainzer, Peter Schuster and Helmut Schwichtenberg. - Singapore : World Scientific, 2018.
ISBN 978-981-3270-93-0

This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes Predicative Foundations, Constructive Mathematics and Type Theory, Computation in Higher Types, Extraction of Programs from Proofs, and Algorithmic Aspects in Financial Mathematics. By filling the gap between (under-)graduate level textbooks and advanced research papers, the book gives a scholarly account of recent developments and emerging branches of the aforementioned fields.

Contents:

• Proof and Computation (Klaus Mainzer)
• Constructive Convex Programming (Josef Berger and Gregor Svindland)
• Exploring Predicativity (Laura Crosilla)
• Constructive Functional Analysis: An Introduction (Hajime Ishihara)
• Program Extraction (Kenji Miyamoto)
• The Data Structures of the Lambda Terms (Masahiko Sato)
• Provable (and Unprovable) Computability (Stanley S Wainer)
• Introduction to Minlog (Franziskus Wiesnet)

Beiträge der Internationalen Herbstschule in Fischbachau vom 3.-8. Oktober 2016